New Near Horizon Limit in Kerr/CFT

Details New Near Horizon Limit in Kerr/CFT New Near Horizon Limit in Kerr/CFT

2010-10-21

arxiv.org/abs/1010.4549v2

JHEP 1012:073,2010

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, minor changes, references added

Scientific paper

10.1007/JHEP12(2010)073

The extremal Kerr black hole with the angular momentum J is conjectured to be dual to CFT with central charges c_L=c_R=12J. However, the central charge in the right sector remains to be explicitly derived so far. In order to investigate this issue, we introduce new near horizon limits of (near) extremal Kerr and five-dimensional Myers-Perry black holes. We obtain Virasoro algebras as asymptotic symmetries and calculate the central charges associated with them. One of them is equivalent to that of the previous studies, and the other is non-zero, but still the order of near extremal parameter. Redefining the algebras to take the standard form, we obtain a finite value as expected by the Kerr/CFT correspondence.

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